Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (8x²) to evaluate the integral 0.77 10.77 sin (8x²) dx. Your answer will be an infinite series. Use the first two terms to estimate its value.

Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (8x²) to evaluate the integral 0.77 10.77 sin (8x²) dx. Your answer will be an infinite series. Use the first two terms to estimate its value.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.4: Improper Integrals

Problem 12E

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Assume that sin(x) equals its Maclaurin series for all x.
Use the Maclaurin series for sin (8x²) to evaluate the integral
0.77
10.77
sin (8x²) dx.
Your answer will be an infinite series. Use the first two terms to estimate its value.

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